Question

Three men A, B and C working together can do a
work in 30 days. They start the work together.
A works for 3 days and takes rest on the fourth day,
B works for 5 days and takes rest on the next two
days and C works for 7 days and takes rest on the
next three days. If A, B and C work at the same rate,
in how many days will the work be completed?
​

Answer 1

Answer:

90 days

Step-by-step explanation:

Total work is 3*30 = 90 units.

A's schedule WWWR 3 workdays in 4.

B's schedule WWWWWRR 5 workdays in 7.

C's schedule WWWWWWWRRR 7 workdays in 10.

Test the options. In 40 days:

A will do 10*3=30 units (10 complete cycles).

B will do 5*5+5=30 units (5 complete cycles and 5 days of work).

C will do 4*7=28 units (4 complete cycles).

Total = 88 units.

On 41st day, A and C will work and do 2 units of work, so in 41 days 88+2=90 units of work will be done.

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